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Could also be some flash, or java code giving off some false positives. The more code you add to a site, the more likely that it will also break.
A blogging site needs text, do not add a lot of fancy transitions, animations, embedded video, and other distractions from the text that you are trying to convey.

Validate the web code on the site by using some web tools, like the ones found on W3C.

If your website has validated, there should be no issues from visitors claiming you have a virus on your web site. Unless of course the web server itself is infected, and sharing the virus with those that connect to it. If this is the case, contact your web provider, and tell them your situation.